Preliminary experiment to reveal the variation of temperature
in a gas submitted to an acceleration field.

The first obstacle toward the acknowledgement of the concept of the invention could be cleared thanks to the realization of this experiment.. The aim is only to demonstrate that in a gas in a thermodynamic equilibrium in which there is an acceleration field (or attraction field), that there reigns not only a gradient of pressure but also of temperature.

The experiment consists in having a spinning top turn at a high speed ( 10 000 to 15 000 turns /minute), that is to say a hollow glass cylinder equipped with a thin plastic cylinder on its axis, to produce a centrifuge acceleration field able to cool the plastic cylinder of a few degrees ( according to the speed, the diameter of the glass cylinder and of the plastic cylinder).

this experiment might open a breach into the zero principle of Thermodynamics, principle which indicates that two objects in contact, even thanks to a gas, tend to put themselves at the same temperature (Clausius postulate) . This wouldn’t be true anymore if there is, in the gas, an acceleration field perpendicular to the gas layer. It is this breach, this non absolute characteristic of the zero principle which would be at the origin of the contradiction with the second principle of Thermodynamics in this invention.

(1) The glass cylinder
It is the warm plate. It must be thick enough to limit as much as possible its warming during the experiment in order to measure as precisely as possible the cooling of the thin plastic cylinder. One must take into account the frictions in the bearings and the vibrations which will tend to warm the glass cylinder through the medium of the lateral circular metallic plates. If those losses of energy induce a too fast warming of the glass cylinder, the measurement of the cooling of the plastic cylinder will be difficult. One of the solutions would be to also measure the temperature of the glass cylinder and to calculate the cooling of the plastic cylinder by comparing the two temperatures

(2) The plastic cylinder 1 millimeter thick or less if possible. The aim is to reduce as much as possible the calorific capacity of the cylinder in order to be put at the air temperature with which it is in contact as quickly as possible.

(3) Thin metallic layer vacuum-laid on the polished glass. Considering the important distance between the cold and warm plates, that is to say between the two cylinders, the power of thermal transfer by conduction in the gas  would be equal to the power of thermal transfer by radiation if they were two black bodies. To limit the return of heat by radiation on the plastic cylinder, the glass cylinder will have to be coated with a thin metallic layer in order to reduce the emissivity of the glass by leaving a narrow strip in the middle of the cylinder (between the two arrowed axis) which will allow, through the glass transparency, to read the temperature of the plastic cylinder by optical process.

(4) The cylinder’s plastic washers.
They will be cut as is described on the diagram to reduce as much as possible the contact with the cylinder and consequently the thermal bridge between the metallic axis (warm) and the cylinder (cold). Still in the aim of reducing the thermal transfer between the metallic axis and the plastic cylinder, the metallic axis will be of a small diameter and it would be preferable if it was buffed to limit as much as possible the thermal transfer by radiation.

(5) Air pressure
With a gas at the atmospheric pressure, we might have a warming of the plastic cylinder by convection, in which the air in contact with the lateral metallic walls would get warmer and would converge towards the center of the glass cylinder to then go and warm the plastic cylinder. The best solution to avoid this problem consists in introducing the apparatus into a tank in which  a vacuum of about 10-4 to 10-5 bar would be created ( fmp (mfp of about 0.5 to 5 mm). At this pressure the density of the gas molecules becomes so weak that the movements of convection don’t happen anymore and the power of thermal transfer by conduction in the gas would then be only slightly reduced.

The geometrical calculations that follow aim at calculating the cooling of the thin plastic cylinder and to demonstrate that we would get the expected effect with a rarefied gas. By arbitrarily choosing the value 100 for the average relative speed between a molecule and the wall at its point of departure, we aim at knowing the relative speed between the molecule and the wall at its point of impact (located as o on the circumference of the inside or outside circle of the diagram) by supposing that there is no intermolecular collision between both walls. It is proposed that the linear speed of the inside wall of the external cylinder be equal to the fifth of the average speed of a molecule, which is represented by a 20mm line on the diagram, and 10 mm for the linear speed of the wall of the internal cylinder whose radius is twice smaller.

The absolute speed of the molecule (Va) is the speed measured by a motionless observer. It doesn’t change during the journey of the molecule between the two walls. It can be determined by drawing a parallelogram , the length of the small side corresponding to the speed of the wall and the length of the long side to the relative speed between the molecule and the wall. By re combining the speeds on the point of impact thanks to another parallelogram, one can find the relative speed between the molecule and the wall at its point of impact. I have thus tried to know the variation of the relative speed between the two walls, according to three different  directions. The measurements were made on a professional drawing table where I drew  parallelograms three times bigger than the of the previous diagrams, in order to increase the accuracy of the measurements. I then divided all the measured dimensions by three to re transcribe them on the actual diagrams.

When a molecule goes from the wall of the inside cylinder to the external cylinder’s, one can see that the relative speed between the molecule and the wall of the external cylinder (VRm.C) increases of about 1.5% compared to the relative speed between the molecule ant the wall of the internal cylinder (VRm-c) that is to say an increase of 3% of the kinetic energy of the molecule since it increases like the square of its speed (1.0152 = 1.03), which gives a warming of about 9°C for a rare gas (300K x 0.03) and of about 5.5°C for air since the energy of translation of an air molecule only represents three fifth of its total energy, the remaining part being rotation energy. One can notice that the increase of the relative speed is identical in the three studied directions. When a molecule goes from the wall of the external cylinder to the internal cylinder’s, the relative speed decreases of about 1.5% in the three directions, that is to say a decrease of 3% of the kinetic energy.

Consequently, in this example the thermal equilibrium would be established when the wall of the internal cylinder is colder than the external cylinder’s, of 9°C for a rare gas and of 5.5°C for air, neglecting the different causes of heat return mentioned above. Consequently the difference of temperature will be less important in reality. The calculations show that the increase or the decrease of the relative speed from a wall to another varies like the square of a spinning-top speed

Generally speaking, this calculation demonstrates that a molecule going towards the external cylinder sees its relative speed and its kinetic energy increase, whereas they decrease when the molecule goes towards the internal cylinder, and this depending on the distance or the closeness of the molecule from the axis of the moving spinning-top.. For instance, if one measures the increase of the relative speed from the wall of the internal cylinder until an intermediary impact between the two walls, integral with the spinning top, then from this intermediary impact until the wall of the external cylinder, the two increases put together correspond to the one we get when the molecule goes directly from one wall to the other. Consequently, the difference of temperature between the walls will not vary according to the free mean path of a molecule in the gas, that is to say according to the density of the gas. If there is a variation of this gap, it will be due to a weaker difference of temperature coming from the air at the atmospheric pressure, certainly induced by the movements of convection that I have described above (see air pressure).

Passage of a molecule from the internal cylinder to the external cylinder.

VRm.C

= 1,015

VRm.c

 

In the three directions, the relative speed increases of 1.5% that is to say an increase of 3% of the kinetic energy.


Passage of a molecule from the external cylinder to the internal cylinder

VRm.c

= 0,985

VRm.C

 

In the three directions the relative speed decreases of about 1.5%, that is to say a decrease of 3% of the kinetic energy.